Except that if it's cooler in the chamber, it was cooler before the chamber - which would mean more dense, which means more air/fuel in the chamber, which means more power.
I get what you were trying to say/ask, but it just doesn't/can't happen that way because the incoming air is almost always cooler than the engine induction components themselves, and so the charge mixture can only increase in temperature once it's through the manifold...
The physics of combustion mean that nearly all heat transfer is from the burning gasses themselves, because until the mixture ignites there's not enough convection for the incoming mixture to have any effect on the engine components, or for the engine components to have an effect on the mixture.
